What is the Greatest Common Factor of 34957 and 34975?

Greatest common factor (GCF) of 34957 and 34975 is 1.

GCF(34957,34975) = 1

We will now calculate the prime factors of 34957 and 34975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34957 and 34975.

How to find the GCF of 34957 and 34975?

We will first find the prime factorization of 34957 and 34975. After we will calculate the factors of 34957 and 34975 and find the biggest common factor number .

Step-1: Prime Factorization of 34957

Prime factors of 34957 are 13, 2689. Prime factorization of 34957 in exponential form is:

34957 = 13¹ × 2689¹

Step-2: Prime Factorization of 34975

Prime factors of 34975 are 5, 1399. Prime factorization of 34975 in exponential form is:

34975 = 5² × 1399¹

Step-3: Factors of 34957

List of positive integer factors of 34957 that divides 34957 without a remainder.

1, 13, 2689

Step-4: Factors of 34975

List of positive integer factors of 34975 that divides 34957 without a remainder.

1, 5, 25, 1399, 6995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34957 and 34975. The biggest common factor number is the GCF number.
So the greatest common factor 34957 and 34975 is 1.

Also check out the Least Common Multiple of 34957 and 34975